By the time you face star gods (and especially if you expect them to come after you), you should have a fair few explosives of impressive power. Get to those hangars, chuck the explosives, enjoy Star God crispy bits. Star gods and MC capable enemies are one of the main reason I favour aggressive hideout defenses.
Only in the first turn do you have the advantage of knowing where your enemy is, and to have them all grouped. You should make use of it! Otherwise, they are coming to you on their terms, which for Star Gods, would be pretty bad.